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Finding the Third Proportional to 619,435.69 and 833,653.69

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Solution

The third proportional to 619,435.69 and 833,653.69 is: 1,121,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,435.69 : 833,653.69 = 833,653.69 : x
  2. Step 2: Convert to fraction form
    619,435.69/833,653.69 = 833,653.69/x
  3. Step 3: Cross multiply
    619,435.69x = 833,653.69 × 833,653.69
  4. Step 4: Simplify right side
    619,435.69x = 694,978,470,682.35
  5. Step 5: Solve for x
    x = 694,978,470,682.35/619,435.69
  6. Step 6: Final answer
    x = 1,121,954.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.